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Finding the Third Proportional to 605,863 and 1,274,403

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Solution

The third proportional to 605,863 and 1,274,403 is: 2,680,643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,863 : 1,274,403 = 1,274,403 : x
  2. Step 2: Convert to fraction form
    605,863/1,274,403 = 1,274,403/x
  3. Step 3: Cross multiply
    605,863x = 1,274,403 × 1,274,403
  4. Step 4: Simplify right side
    605,863x = 1,624,103,006,409
  5. Step 5: Solve for x
    x = 1,624,103,006,409/605,863
  6. Step 6: Final answer
    x = 2,680,643.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.